关于李群胚的几点讨论(英文)  

Several Discussions on Lie groupoids

作　　者：王宝勤[1] 袁丽霞[1] 侯传燕[1] 

机构地区：[1]新疆师范大学数理信息学院,乌鲁木齐830054

出　　处：《应用数学》2006年第4期731-736,共6页Mathematica Applicata

基　　金：Supported by National Natural Science Foundation of China (10472100)

摘　　要：文章讨论了李群胚作为丛的一些性质,得出李群胚的内子群胚是主丛的结论;研究了李群胚在其内子群胚上的作用,并证明了李群胚上的Maurer-cartan形式在其任意左不变向量场上作用的结果为常数.文末推广了关于李代数胚态射的一个结论.In this paper, we discussed some properties of Lie groupoids as a bundle, and obtained the conclusion that its Inner subgroupoids is a principal bundle. Studied the actions of Lie groupoids on its Inner subgroupoids, proved the result that its Maurer-Cartan forms acting on left invariant vector field is a constant. A proposition about the morphisms of Lie algebroids is generalized.

关 键 词：李群胚 李群胚的作用 Maurer-Cantan形式 李代数胚态射 

分 类 号：O186.16[理学—数学]